Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.4" was replaced by "(84/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

    501        84
  ((———•(102))•——)•(24•54)
    100        10

Step  2  :

            42
 Simplify   ——
            5 

Equation at the end of step  2  :

    501            42
  ((——— • (102)) • ——) • (24•54)
    100            5 

Step  3  :

 3.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  3  :

    501              42
  ((——— • (22•52)) • ——) • (24•54)
    100              5 

Step  4  :

            501
 Simplify   ———
            100

Equation at the end of step  4  :

    501              42
  ((——— • (22•52)) • ——) • (24•54)
    100              5 

Step  5  :

Canceling Out :

 5.1      Canceling out  2² as it appears on both sides of the fraction line

Canceling Out :

 5.2      Canceling out  5² as it appears on both sides of the fraction line

Equation at the end of step  5  :

         42
  (501 • ——) • (24•54)
         5 

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2⁴   = 2^{(1 + 4)} = 2⁵

Dividing exponents :

 6.2    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Final result :

  (25•32•7•167•53)